A meter bridge is set-up as shown in figure to determine an unknown resistance X using a standard `10Omega` resistor. The galvanometer shown null point when tapping key is at 52 cm mark. The end corrections are 1 cm and 2 cm respectively for the ends A and B. the determined value of X is

Options

A. `10.2Omega`
B. `10.6Omega`
C. `10.8Omega`
D. `11.1Omega`

Answer

B

Explanation

Using the concept of balanced wheatstone's bridge we have
`(P)/(Q)=(R)/(S)therefore(X)/((32+1))=(10)/((48+2))thereforeX=(10xx53)/(50)=10.6Omega`